{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.datasets import make_blobs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "'''\n",
    "https://www.cnblogs.com/EnzoDin/p/12452487.html\n",
    "\n",
    "KMeans（K均值）是典型的基于距离的排他划分方法：给定一个n个对象的数据集，\n",
    "它可以构建数据的k个划分，每个划分就是一个聚类，并且k<=n，同时还满足两个要求:\n",
    "    1.每个组至少包含一个对象\n",
    "    2.每个对象必须属于且仅属于一个组\n",
    "优点：\n",
    "　　擅长处理球状分布的数据，当结果聚类是密集的，而且类和类之间的区别比较明显时，K均值的效果比较好\n",
    "　　对于处理大数据及，这个算法是相对可伸缩的和高效的，它的复杂度是O(nkt),n是对象的个数，k是簇的数目，t是迭代的次数。\n",
    "缺点：\n",
    "    算法的初始中心点选择与算法的运行效率密切相关，而随机选取中心点有可能导致迭代次数很大或者限于某个局部最优状态；\n",
    "    通常k<<n,且t<<n，所以算法经常以局部最优收敛\n",
    "    K均值的最大问题是要求用户必须事先给出k的个数，k的选择一般都基于经验值和多次实验的结果，对于不同的数据集，k的取值没有可借鉴性。\n",
    "    对异常偏离的数据敏感--离群点；K均值对噪声和孤立点数据是敏感的，少量的这类数据就能对平均值造成极大的影响。\n",
    "'''"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "# x_y为样本特征，cluster为样本簇类别,共1000个样本，\n",
    "# 每个样本2个特征，共4个簇，簇中心在[-1,-1], [0,0],[1,1], [2,2]， 簇方差分别为[0.4, 0.2, 0.2]\n",
    "x_y, cluster = make_blobs(n_samples=1000\n",
    "                  , n_features=2\n",
    "                  , centers=[[1,1], [1,3], [3,1], [3,3]]\n",
    "                  , cluster_std=[0.4, 0.2, 0.2, 0.2], \n",
    "                  random_state =9)\n",
    "# 将样本特征数据转换为DataFrame\n",
    "data = pd.DataFrame(x_y,columns=['x','y'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.158972</td>\n",
       "      <td>1.663881</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.998216</td>\n",
       "      <td>3.307828</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2.828955</td>\n",
       "      <td>1.005104</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.037121</td>\n",
       "      <td>2.859507</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.245090</td>\n",
       "      <td>0.925712</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>3.289052</td>\n",
       "      <td>3.124140</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.595358</td>\n",
       "      <td>3.104597</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>3.284495</td>\n",
       "      <td>1.403602</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.330825</td>\n",
       "      <td>0.659779</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>3.051186</td>\n",
       "      <td>2.953839</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          x         y\n",
       "0  1.158972  1.663881\n",
       "1  0.998216  3.307828\n",
       "2  2.828955  1.005104\n",
       "3  1.037121  2.859507\n",
       "4  1.245090  0.925712\n",
       "5  3.289052  3.124140\n",
       "6  0.595358  3.104597\n",
       "7  3.284495  1.403602\n",
       "8  0.330825  0.659779\n",
       "9  3.051186  2.953839"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 查看数据\n",
    "data.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 将数据以散点图的形式展示\n",
    "plt.figure(figsize=(12,12))\n",
    "sns.scatterplot(x='x',y='y',data=data)\n",
    "plt.show()\n",
    "# 通过观察可以明显的看出数据可以大致分为4类"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 使用KMeans模型进行聚类\n",
    "\n",
    "km = KMeans(4) # 获得4个质心 即最后将数据分为4类\n",
    "km.fit(data) # 训练模型\n",
    "data['class'] = km.predict(data) # 进行预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "      <th>class</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.158972</td>\n",
       "      <td>1.663881</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.998216</td>\n",
       "      <td>3.307828</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2.828955</td>\n",
       "      <td>1.005104</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.037121</td>\n",
       "      <td>2.859507</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.245090</td>\n",
       "      <td>0.925712</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>3.289052</td>\n",
       "      <td>3.124140</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.595358</td>\n",
       "      <td>3.104597</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>3.284495</td>\n",
       "      <td>1.403602</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.330825</td>\n",
       "      <td>0.659779</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>3.051186</td>\n",
       "      <td>2.953839</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          x         y  class\n",
       "0  1.158972  1.663881      1\n",
       "1  0.998216  3.307828      2\n",
       "2  2.828955  1.005104      3\n",
       "3  1.037121  2.859507      2\n",
       "4  1.245090  0.925712      1\n",
       "5  3.289052  3.124140      0\n",
       "6  0.595358  3.104597      2\n",
       "7  3.284495  1.403602      3\n",
       "8  0.330825  0.659779      1\n",
       "9  3.051186  2.953839      0"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 查看训练后的结果\n",
    "data.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 864x864 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 690.375x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 将最后的结果进行可视化\n",
    "\n",
    "plt.figure(figsize=(12,12))\n",
    "g = sns.FacetGrid(data,hue='class',height=9)\n",
    "g.map(sns.scatterplot,'x','y').add_legend()  # 生成分类后的散点图\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
